#include <iostream>
#include <vector>
using namespace std;

class Solution
{
public:
    static vector<int> productExceptSelf(vector<int>& nums)
    {
        int n = nums.size();
        vector<int> f(n), g(n), answer(n);
        f[0] = 1;
        g[n-1] = 1;
        for(int i=1; i<n; i++)
            f[i] = f[i-1]*nums[i-1];
        for(int i=n-2; i>=0; i--)
            g[i] = g[i+1]*nums[i+1];

        for(int i=0; i<n; i++)
            answer[i] = f[i]*g[i];
        return answer;
    }
};